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Finding the Fourth Proportional to 74,190.98, 102,388.57 and 41,914.40

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Solution

The fourth proportional to 74,190.98, 102,388.57 and 41,914.40 is: 57,844.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,190.98 : 102,388.57 = 41,914.40 : x
  2. Step 2: Convert to fraction form
    74,190.98/102,388.57 = 41,914.40/x
  3. Step 3: Cross multiply
    74,190.98x = 102,388.57 × 41,914.40
  4. Step 4: Simplify right side
    74,190.98x = 4,291,555,478.41
  5. Step 5: Solve for x
    x = 4,291,555,478.41/74,190.98
  6. Step 6: Final answer
    x = 57,844.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.